In 15 through 18, we indicate how to prove that the
Chapter 2, Problem 17(choose chapter or problem)
In 15 through 18, we indicate how to prove that the sequence {n(t)}, defined byEqs. (4) through (7), converges. (a) Show that if |t| h, then|1(t)| M|t|,where M is chosen so that |f(t, y)| M for (t, y) in D.(b) Use the results of and part (a) of to show that|2(t) 1(t)| MK|t|22 .(c) Show, by mathematical induction, that|n(t) n1(t)| MKn1|t|nn! MKn1hnn!
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